On Affine Minimal Translation Surfaces and Ramanujan Identities

Autor:	Mohamd Saleem Lone
Rok vydání:	2021
Předmět:	Logarithmic distribution symbols.namesake Pure mathematics Identity (mathematics) General Mathematics Scherk surface symbols Affine transformation Translation (geometry) Dirichlet series Ramanujan's sum Mathematics Probability measure
Zdroj:	Mediterranean Journal of Mathematics. 18
ISSN:	1660-5454 1660-5446
DOI:	10.1007/s00009-021-01849-8
Popis:	In this paper, using the Weierstrass–Enneper formula and the hodographic coordinate system, we find the relationships between the Ramanujan identity and a generalized class of minimal translation surfaces, known as affine minimal translation surfaces. We find the Dirichlet series expansion of the affine Scherk surface. We also obtain some of the probability measures of affine Scherk surface with respect to its logarithmic distribution. Next, we classify the affine minimal translation surfaces in $${\mathbb {L}}^3$$ and remark the analogous forms in $${\mathbb {L}}^3.$$
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8d14ed439ae38d816d930769d000288a https://doi.org/10.1007/s00009-021-01849-8 Zobrazit plný text záznamu Full text from SpringerLink